Bulletin of the American Mathematical Society

MathSciNet review: 1567775
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Book Information:

Author: Krzysztof P. Rybakowski
Title: The homotopy index and partial differential equations
Additional book information: Universitext, Springer-Verlag, Berlin, Heidelberg, New York, 1987, xii + 208 pp., $39.50. ISBN 3-540-18067-2.

C. Conley and R. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc. 158 (1971), 35–61. MR 279830, DOI 10.1090/S0002-9947-1971-0279830-1

Charles Conley, Isolated invariant sets and the Morse index, CBMS Regional Conference Series in Mathematics, vol. 38, American Mathematical Society, Providence, R.I., 1978. MR 511133

J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331

E. H. Rothe, Introduction to various aspects of degree theory in Banach spaces, Mathematical Surveys and Monographs, vol. 23, American Mathematical Society, Providence, RI, 1986. MR 852987, DOI 10.1090/surv/023

Krzysztof P. Rybakowski, On the homotopy index for infinite-dimensional semiflows, Trans. Amer. Math. Soc. 269 (1982), no. 2, 351–382. MR 637695, DOI 10.1090/S0002-9947-1982-0637695-7

Joel Smoller, Shock waves and reaction-diffusion equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 258, Springer-Verlag, New York-Berlin, 1983. MR 688146

Tadeusz Ważewski, Sur un principe topologique de l’examen de l’allure asymptotique des intégrales des équations différentielles ordinaires, Ann. Soc. Polon. Math. 20 (1947), 279–313 (1948) (French). MR 0026206

1.

C. C. Conley and R. W. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc. 158 (1971), 35-61. MR 0279830

2.

C. C. Conley, Isolated invariant sets and the Morse index, CBMS Regional Confer. Ser. no. 38, Amer. Math. Soc., Providence, R.I., 1978. MR 511133

3.

J. Milnor, Morse theory, Princeton Univ. Press, Princeton, N.J., 1963. MR 163331

4.

E. H. Rothe, Introduction to various aspects of degree theory in Banach spaces, Math. Surveys and Monographs no. 23, Amer. Math. Soc., Providence, R.I., 1986. MR 852987

5.

K. P. Rybakowski, On the homotopy index for infinite-dimensional semiflows, Trans. Amer. Math. Soc. 269 (1982), 351-382. MR 637695

6.

J. Smoller, Shock waves and reaction-diffusion equations, Grundlehren Math. Wiss., vol. 258, Springer-Verlag, Berlin and New York, 1983. MR 688146

7.

T. Wazewsky, Sur un principe topologique de l'examen de l'allure asymptotique des intégrales des équations différentielles, Ann. Soc. Math. Polon. 20 (1947), 279-313. MR 26206